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Finding the Third Proportional to 79,923 and 184,542

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Solution

The third proportional to 79,923 and 184,542 is: 426,107.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,923 : 184,542 = 184,542 : x
  2. Step 2: Convert to fraction form
    79,923/184,542 = 184,542/x
  3. Step 3: Cross multiply
    79,923x = 184,542 × 184,542
  4. Step 4: Simplify right side
    79,923x = 34,055,749,764
  5. Step 5: Solve for x
    x = 34,055,749,764/79,923
  6. Step 6: Final answer
    x = 426,107.00

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.